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MATH 101 Quiz #6 (v.T1) Last Name: Thursday, March 31 First Name: Grade: Student-No: Section: Very short answer question ∞ n X n−1 1 + 4 1. 1 mark The series (−1) either: [CA] converges absolutely; [CC] converges con3 + 22n n=1 ditionally; [D] diverges; or [N] none of the above. Determine which answer is correct, and put its abbreviation in the box. Answer: Short answer questions—you must show your work 2. 2 marks How many terms of the series within an error that is ≤ 10−6 ? ∞ X (−1)n−1 n=1 n3 are needed in order to evaluate its value 3. 2 marks Use the Comparison Test (not the Limit Comparison Test) to show whether the ∞ √ X 15n2 + 5 series converges or diverges. n2 n=1 Long answer question—you must show your work 4. 5 marks Find the interval of convergence for ∞ X 2n n=1 n3 (x − 1)n .